If f(x)= 1/x and g(x) = x+3, which of the following is the graph of (fog)(x)?
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Answer:
Step-by-step explanation:
If the two functions are,
f(x) = [tex]\frac{1}{x}[/tex]
and g(x) = x + 3
Then, (fog)(x) = f[g(x)]
f[g(x)] = [tex]\frac{1}{(x+3)}[/tex]
If we plot the graph of f[g(x)],
There will be a vertical asymptote,
x = -3
And horizontal asymptote,
y = 0
Since options for the graph of f[g(x)] have not been given in the question,
Graph having asymptotes as x = -3 and y = 0 will be the answer.